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Finding the Fourth Proportional to 111.70, 167.41 and 47.50

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Solution

The fourth proportional to 111.70, 167.41 and 47.50 is: 71.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 167.41 = 47.50 : x
  2. Step 2: Convert to fraction form
    111.70/167.41 = 47.50/x
  3. Step 3: Cross multiply
    111.70x = 167.41 × 47.50
  4. Step 4: Simplify right side
    111.70x = 7,951.98
  5. Step 5: Solve for x
    x = 7,951.98/111.70
  6. Step 6: Final answer
    x = 71.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.